Find the Exact Value tan(4/5)

Problem

tan(4/5)

Solution

1. Identify the expression as the tangent of a constant value, where the angle is 4/5 radians.

2. Determine if the value can be simplified using standard trigonometric identities or special angles (like 0,π/6,π/4,π/3,π/2.

3. Conclude that since 4/5 is not a standard multiple of π the exact value is represented by the expression itself.

Final Answer

tan(4/5)=tan(4/5)

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